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Finding the Third Proportional to 30,639 and 64,370

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Solution

The third proportional to 30,639 and 64,370 is: 135,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639 : 64,370 = 64,370 : x
  2. Step 2: Convert to fraction form
    30,639/64,370 = 64,370/x
  3. Step 3: Cross multiply
    30,639x = 64,370 × 64,370
  4. Step 4: Simplify right side
    30,639x = 4,143,496,900
  5. Step 5: Solve for x
    x = 4,143,496,900/30,639
  6. Step 6: Final answer
    x = 135,236.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.